NC 7-13

Question 1

IVT states that if what three conditions hold then there is at least one number c in [a, b] so that f(c) = k.

Answer 1

1. f is continuous on the closed interval [a, b]
2. f(a) does not equal f(b)
3. k is any number between f(a) and f(b)

Question 2

What is the notation when answering an IVT question?

Answer 2

restate the three rules with if then. If its asking if k fits in between it, make an inequality.

Question 3

What is AROC (average rate of change)?

Answer 3

slope of the secant line through two points.

f(b) - f(a) / b-a for [a,b]

Question 4

How do you solve using definition of derivatives?

Answer 4

k